{
 "cells": [
  {
   "cell_type": "code",
   "id": "initial_id",
   "metadata": {
    "collapsed": true,
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:43.269126Z",
     "start_time": "2025-05-20T14:45:43.180863Z"
    }
   },
   "source": [
    "import numpy as np\n",
    "\n",
    "\n",
    "class KMeansManual:\n",
    "    def __init__(self, n_clusters=3, max_iter=100, random_state=None):\n",
    "        self.n_clusters = n_clusters\n",
    "        self.max_iter = max_iter\n",
    "        self.random_state = random_state\n",
    "\n",
    "    def fit(self, X):\n",
    "        np.random.seed(self.random_state)\n",
    "        # 随机初始化质心\n",
    "        initial_idx = np.random.choice(len(X), self.n_clusters, replace=False)\n",
    "        self.centroids = X[initial_idx]\n",
    "\n",
    "        for _ in range(self.max_iter):\n",
    "            # 计算每个点到每个质心的距离\n",
    "            distances = np.linalg.norm(X[:, np.newaxis] - self.centroids, axis=2)\n",
    "            # 分配每个点到最近的质心\n",
    "            self.labels_ = np.argmin(distances, axis=1)\n",
    "            # 更新质心\n",
    "            new_centroids = np.array(\n",
    "                [\n",
    "                    (\n",
    "                        X[self.labels_ == i].mean(axis=0)\n",
    "                        if np.any(self.labels_ == i)\n",
    "                        else self.centroids[i]\n",
    "                    )\n",
    "                    for i in range(self.n_clusters)\n",
    "                ]\n",
    "            )\n",
    "            # 如果质心没有变化则停止\n",
    "            if np.allclose(self.centroids, new_centroids):\n",
    "                break\n",
    "            self.centroids = new_centroids\n",
    "\n",
    "    def predict(self, X):\n",
    "        distances = np.linalg.norm(X[:, np.newaxis] - self.centroids, axis=2)\n",
    "        return np.argmin(distances, axis=1)"
   ],
   "outputs": [],
   "execution_count": 1
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:46.827610Z",
     "start_time": "2025-05-20T14:45:43.281679Z"
    }
   },
   "cell_type": "code",
   "source": [
    "from sklearn.datasets import make_blobs\n",
    "from sklearn.metrics import adjusted_rand_score\n",
    "\n",
    "import matplotlib.pyplot as plt\n",
    "\n",
    "# 生成模拟数据\n",
    "X, y_true = make_blobs(n_samples=300, centers=3, cluster_std=0.6, random_state=42)\n",
    "X.shape"
   ],
   "id": "aeb497c73297d1b2",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(300, 2)"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 2
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:47.484871Z",
     "start_time": "2025-05-20T14:45:47.479428Z"
    }
   },
   "cell_type": "code",
   "source": [
    "kmeans = KMeansManual(n_clusters=3, max_iter=100, random_state=42)\n",
    "kmeans.fit(X)\n",
    "y_pred = kmeans.labels_\n",
    "y_pred"
   ],
   "id": "15d9f6cca9987b8c",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([1, 1, 0, 2, 1, 2, 0, 2, 0, 0, 0, 2, 0, 0, 1, 0, 1, 2, 0, 0, 0, 0,\n",
       "       2, 1, 0, 1, 1, 2, 2, 0, 0, 0, 1, 0, 1, 0, 1, 2, 1, 2, 2, 0, 1, 2,\n",
       "       0, 0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 2, 1, 0, 2, 0, 1, 2, 2, 1, 1, 2,\n",
       "       2, 1, 1, 0, 2, 1, 1, 0, 0, 1, 1, 2, 0, 2, 0, 0, 1, 0, 2, 1, 1, 0,\n",
       "       2, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1,\n",
       "       2, 0, 0, 0, 0, 2, 1, 2, 1, 2, 2, 2, 0, 1, 1, 1, 1, 0, 1, 1, 0, 0,\n",
       "       0, 0, 0, 2, 2, 1, 0, 1, 0, 0, 1, 0, 2, 2, 2, 0, 2, 0, 0, 1, 2, 1,\n",
       "       0, 2, 2, 1, 1, 0, 0, 1, 1, 1, 0, 1, 2, 0, 0, 0, 0, 0, 2, 0, 2, 2,\n",
       "       2, 0, 2, 2, 1, 0, 1, 2, 2, 1, 2, 0, 2, 2, 1, 1, 2, 1, 2, 2, 2, 2,\n",
       "       0, 1, 0, 0, 2, 2, 0, 2, 1, 1, 2, 0, 0, 1, 2, 2, 1, 1, 1, 1, 0, 1,\n",
       "       1, 2, 1, 1, 0, 2, 1, 1, 2, 0, 0, 1, 0, 1, 2, 2, 1, 2, 1, 1, 1, 2,\n",
       "       2, 0, 1, 2, 2, 2, 1, 2, 1, 2, 1, 2, 2, 1, 2, 0, 1, 0, 0, 0, 1, 0,\n",
       "       2, 2, 1, 2, 2, 0, 0, 2, 2, 2, 1, 1, 1, 0, 0, 0, 2, 2, 2, 2, 1, 2,\n",
       "       1, 2, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 1, 1], dtype=int64)"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 3
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:47.498440Z",
     "start_time": "2025-05-20T14:45:47.491875Z"
    }
   },
   "cell_type": "code",
   "source": [
    "ari = adjusted_rand_score(y_true, y_pred)\n",
    "ari"
   ],
   "id": "41c572140a1e2ec2",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "execution_count": 4
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:47.898112Z",
     "start_time": "2025-05-20T14:45:47.551648Z"
    }
   },
   "cell_type": "code",
   "source": [
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred, cmap=\"viridis\", alpha=0.8, edgecolors=\"k\", s=50)\n",
    "plt.scatter(\n",
    "    kmeans.centroids[:, 0],\n",
    "    kmeans.centroids[:, 1],\n",
    "    c=\"red\",\n",
    "    marker=\"X\",\n",
    "    s=200,\n",
    "    label=\"Centroids\",\n",
    ")\n",
    "plt.title(f\"K-Means Clustering (ARI: {ari:.2f})\")\n",
    "plt.legend()\n",
    "plt.grid(True, linestyle=\"--\", alpha=0.7)\n",
    "plt.show()\n",
    "\n",
    "print(f\"Adjusted Rand Index: {ari:.4f}\")\n",
    "print(f\"Final centroids:\\n{kmeans.centroids}\")"
   ],
   "id": "f59d5a1c596db33b",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adjusted Rand Index: 1.0000\n",
      "Final centroids:\n",
      "[[-2.58361866  9.03185632]\n",
      " [-6.88217395 -6.94243433]\n",
      " [ 4.70421356  1.99562444]]\n"
     ]
    }
   ],
   "execution_count": 5
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:47.926604Z",
     "start_time": "2025-05-20T14:45:47.916694Z"
    }
   },
   "cell_type": "code",
   "source": [
    "import numpy as np\n",
    "from scipy.stats import multivariate_normal\n",
    "\n",
    "\n",
    "class GaussianMixtureManual:\n",
    "    def __init__(self, n_components=3, max_iter=100, tol=1e-4, random_state=None):\n",
    "        self.n_components = n_components\n",
    "        self.max_iter = max_iter\n",
    "        self.tol = tol\n",
    "        self.random_state = random_state\n",
    "\n",
    "    def fit(self, X):\n",
    "        np.random.seed(self.random_state)\n",
    "        n_samples, n_features = X.shape\n",
    "\n",
    "        # 初始化参数\n",
    "        # 随机初始化均值（使用数据点作为初始均值）\n",
    "        random_indices = np.random.choice(n_samples, self.n_components, replace=False)\n",
    "        self.means_ = X[random_indices]\n",
    "\n",
    "        # 初始化协方差矩阵\n",
    "        self.covariances_ = np.array(\n",
    "            [np.eye(n_features) for _ in range(self.n_components)]\n",
    "        )\n",
    "\n",
    "        # 初始化混合权重\n",
    "        self.weights_ = np.ones(self.n_components) / self.n_components\n",
    "\n",
    "        # EM算法迭代\n",
    "        log_likelihood_old = -np.inf\n",
    "\n",
    "        for iteration in range(self.max_iter):\n",
    "            # E步骤：计算每个样本属于每个高斯分量的概率\n",
    "            responsibilities = self._e_step(X)\n",
    "\n",
    "            # M步骤：更新参数\n",
    "            self._m_step(X, responsibilities)\n",
    "\n",
    "            # 计算对数似然\n",
    "            log_likelihood = self._compute_log_likelihood(X)\n",
    "\n",
    "            # 检查收敛\n",
    "            if abs(log_likelihood - log_likelihood_old) < self.tol:\n",
    "                break\n",
    "\n",
    "            log_likelihood_old = log_likelihood\n",
    "\n",
    "        # 保存聚类标签\n",
    "        self.labels_ = np.argmax(responsibilities, axis=1)\n",
    "        return self\n",
    "\n",
    "    def _e_step(self, X):\n",
    "        \"\"\"E步骤：计算每个样本属于每个高斯分量的概率\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "        responsibilities = np.zeros((n_samples, self.n_components))\n",
    "\n",
    "        for k in range(self.n_components):\n",
    "            # 计算多元高斯分布的概率密度\n",
    "            try:\n",
    "                rv = multivariate_normal(mean=self.means_[k], cov=self.covariances_[k])\n",
    "                responsibilities[:, k] = self.weights_[k] * rv.pdf(X)\n",
    "            except np.linalg.LinAlgError:\n",
    "                # 处理协方差矩阵奇异的情况\n",
    "                epsilon = 1e-6\n",
    "                cov_reg = self.covariances_[k] + epsilon * np.eye(X.shape[1])\n",
    "                rv = multivariate_normal(mean=self.means_[k], cov=cov_reg)\n",
    "                responsibilities[:, k] = self.weights_[k] * rv.pdf(X)\n",
    "\n",
    "        # 归一化\n",
    "        responsibilities_sum = responsibilities.sum(axis=1, keepdims=True)\n",
    "        # 避免除以零\n",
    "        responsibilities_sum[responsibilities_sum == 0] = 1e-10\n",
    "        responsibilities /= responsibilities_sum\n",
    "\n",
    "        return responsibilities\n",
    "\n",
    "    def _m_step(self, X, responsibilities):\n",
    "        \"\"\"M步骤：更新参数\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "\n",
    "        # 计算每个分量的有效样本数\n",
    "        n_k = responsibilities.sum(axis=0)\n",
    "        n_k[n_k < 1e-10] = 1e-10  # 避免除以零\n",
    "\n",
    "        # 更新均值\n",
    "        for k in range(self.n_components):\n",
    "            self.means_[k] = (\n",
    "                np.sum(responsibilities[:, k, np.newaxis] * X, axis=0) / n_k[k]\n",
    "            )\n",
    "\n",
    "        # 更新协方差矩阵\n",
    "        for k in range(self.n_components):\n",
    "            diff = X - self.means_[k]\n",
    "            self.covariances_[k] = (\n",
    "                np.dot(responsibilities[:, k] * diff.T, diff) / n_k[k]\n",
    "            )\n",
    "            # 确保协方差矩阵非奇异\n",
    "            self.covariances_[k] += 1e-6 * np.eye(X.shape[1])\n",
    "\n",
    "        # 更新混合权重\n",
    "        self.weights_ = n_k / n_samples\n",
    "\n",
    "    def _compute_log_likelihood(self, X):\n",
    "        \"\"\"计算对数似然\"\"\"\n",
    "        n_samples = X.shape[0]\n",
    "        log_likelihood = 0\n",
    "\n",
    "        for i in range(n_samples):\n",
    "            likelihood_sample = 0\n",
    "            for k in range(self.n_components):\n",
    "                try:\n",
    "                    rv = multivariate_normal(\n",
    "                        mean=self.means_[k], cov=self.covariances_[k]\n",
    "                    )\n",
    "                    likelihood_sample += self.weights_[k] * rv.pdf(X[i])\n",
    "                except np.linalg.LinAlgError:\n",
    "                    # 处理协方差矩阵奇异的情况\n",
    "                    epsilon = 1e-6\n",
    "                    cov_reg = self.covariances_[k] + epsilon * np.eye(X.shape[1])\n",
    "                    rv = multivariate_normal(mean=self.means_[k], cov=cov_reg)\n",
    "                    likelihood_sample += self.weights_[k] * rv.pdf(X[i])\n",
    "\n",
    "            log_likelihood += np.log(likelihood_sample + 1e-10)  # 避免log(0)\n",
    "\n",
    "        return log_likelihood\n",
    "\n",
    "    def predict(self, X):\n",
    "        \"\"\"预测样本的聚类标签\"\"\"\n",
    "        responsibilities = self._e_step(X)\n",
    "        return np.argmax(responsibilities, axis=1)"
   ],
   "id": "56c4ec94dced3da1",
   "outputs": [],
   "execution_count": 6
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:48.593537Z",
     "start_time": "2025-05-20T14:45:47.935116Z"
    }
   },
   "cell_type": "code",
   "source": [
    "gmm = GaussianMixtureManual(n_components=3, max_iter=100, random_state=42)\n",
    "gmm.fit(X)\n",
    "gmm_pred = gmm.labels_\n",
    "\n",
    "# 计算聚类准确率\n",
    "gmm_ari = adjusted_rand_score(y_true, gmm_pred)\n",
    "\n",
    "# 可视化聚类结果\n",
    "plt.figure(figsize=(10, 6))\n",
    "plt.scatter(\n",
    "    X[:, 0], X[:, 1], c=gmm_pred, cmap=\"viridis\", alpha=0.8, edgecolors=\"k\", s=50\n",
    ")\n",
    "plt.scatter(\n",
    "    gmm.means_[:, 0],\n",
    "    gmm.means_[:, 1],\n",
    "    c=\"red\",\n",
    "    marker=\"X\",\n",
    "    s=200,\n",
    "    label=\"Cluster Centers\",\n",
    ")\n",
    "plt.title(f\"Gaussian Mixture Clustering (ARI: {gmm_ari:.2f})\")\n",
    "plt.legend()\n",
    "plt.grid(True, linestyle=\"--\", alpha=0.7)\n",
    "plt.show()\n",
    "\n",
    "print(f\"Adjusted Rand Index: {gmm_ari:.4f}\")\n",
    "print(f\"Final means:\\n{gmm.means_}\")\n",
    "print(f\"\\nFinal weights:\\n{gmm.weights_}\")"
   ],
   "id": "4971183bd0a4235d",
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<Figure size 1000x600 with 1 Axes>"
      ],
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Adjusted Rand Index: 1.0000\n",
      "Final means:\n",
      "[[-2.58361866  9.03185632]\n",
      " [-6.88217395 -6.94243433]\n",
      " [ 4.70421356  1.99562444]]\n",
      "\n",
      "Final weights:\n",
      "[0.33333333 0.33333333 0.33333333]\n"
     ]
    }
   ],
   "execution_count": 7
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:48.693475Z",
     "start_time": "2025-05-20T14:45:48.690464Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "d8b81061cc4ee08a",
   "outputs": [],
   "execution_count": null
  },
  {
   "metadata": {
    "ExecuteTime": {
     "end_time": "2025-05-20T14:45:48.745856Z",
     "start_time": "2025-05-20T14:45:48.742836Z"
    }
   },
   "cell_type": "code",
   "source": "",
   "id": "ae1271fdfda3b58c",
   "outputs": [],
   "execution_count": null
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
